please help with all. Please show all work in a readable and clear format so that I may have a better understanding.

Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these results with the approximation of the integral using a graphing utility. (Round your answers to four decimal places.) " V8+ x 3 dx , n = 4 Trapezoidal Simpson's graphing utilityDetermine whether the improper integral diverges or converges. 00 1 dx O converges O diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)Determine whether the improper integral diverges or converges. x2e-* dx O converges O diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)